1. For security John plans buy the minimum amount of Diamond Razor Mesh fencing material to fence around his dam and discourage entry. He sent his 15 year old son Mzu to measure the dam.
Mzu tells his Dad that this rectangular shape he has drawn of the dam and fence can help him.
Cut 4 congruent right angled triangles from some scrap paper. Arrange them as shown in diagram […]
Look at this square divided into four pieces : two identical triangles and two identical trapezia.
The edge of length 3 from each triangle matches with the edge of length 3 from a trapezium so that the four pieces from the square now occupy a rectangular space.
The square had side length 8 […]
Find the area of the kite.
Can you find this area by more than one method?
Click here to download the KITE IN A SQUARE worksheet
SQUARE IT GAME
PEOPLE MATHS – GAME FOR […]
Look for squares of different sizes and also tilted squares
Start with a 3 by 3 grid of nine dots. Can you find six squares?
Then go on to the 4 by 4 grid of sixteen dots.
What can you say […]
You might like to cut out the pieces from the Muggles Magic Learner Worksheet and try this for yourself.
ADHK is a square of side length 12 cm
AB = BC= CD = AE
BE is parallel to CF
EI is parallel to FJ
GE is parallel to AD
Can you find the side lengths of the different shapes?
Justify your answers.
The area of JGK is 20 cm².
Give a proof linked to this picture of the formula $a^2 – b^2 = (a + b)(a – b)$ .
2. What do you notice about the difference between squares of consecutive numbers?
Compare the differences between squares of numbers that differ by 1 […]
A large piece of land, divided into small plots, belongs to 5 different farmers.
Below is a plan of the area as the land is presently divided.
All the plots labelled (a) belong to farmer (a).
All the plots labelled (s) belong to farmer (s) and so on.